A triangle has angles of P=66 4x-2 , 3x-1 , and X+5 . What is the measure of the shortest side?

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Answer 1 · 2018-05-20T12:23:49

Measure of the shortest side #color(purple)(c = 13#

Perimeter #P = 66, a = 4x - 2, b = 3x - 1, c = x + 5#

#P = a + b + c = 66#

#(4x-2) + (3x-1) + (x+5) = 66#

#8x + 2 = 66#

#8x = 64# or #x=8#

#a = 4x - 2 = 32-2 =30#

#b = 3x-1 = 24-1 = 23#

#c = x+5 = 8+5 = 13#

Measure of the shortest side #color(purple)(c = 13#